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Finding the Fourth Proportional to 138,906, 208,394.28 and 40,410

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Solution

The fourth proportional to 138,906, 208,394.28 and 40,410 is: 60,625.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,906 : 208,394.28 = 40,410 : x
  2. Step 2: Convert to fraction form
    138,906/208,394.28 = 40,410/x
  3. Step 3: Cross multiply
    138,906x = 208,394.28 × 40,410
  4. Step 4: Simplify right side
    138,906x = 8,421,212,854.80
  5. Step 5: Solve for x
    x = 8,421,212,854.80/138,906
  6. Step 6: Final answer
    x = 60,625.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.